Quotients of orders in cyclic algebras and space-time codes

DOI10.3934/amc.2013.7.441zbMath1329.94104arXiv1210.7044OpenAlexW2963519039WikidataQ59715748 ScholiaQ59715748MaRDI QIDQ380684

B. A. Sethuraman, Frédérique Oggier

Publication date: 14 November 2013

Published in: Advances in Mathematics of Communications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1210.7044

zbMATH Keywords

ordersdivision algebrasspace-time codescoset codeswiretap codes

Mathematics Subject Classification ID

Algebraic coding theory; cryptography (number-theoretic aspects) (11T71) Arithmetic codes (94B40)

Related Items (8)

Lattice Encoding of Cyclic Codes from Skew-Polynomial Rings ⋮ Non-commutative ring learning with errors from cyclic algebras ⋮ How to obtain lattices from \((f,\sigma,\delta)\)-codes via a generalization of construction A ⋮ Finite nonassociative algebras obtained from skew polynomials and possible applications to \((f,\sigma,\delta)\)-codes ⋮ Lengths of cyclic algebras and commutative subalgebras of quaternion matrices ⋮ The automorphisms of Petit’s algebras ⋮ Quotients of orders in algebras obtained from skew polynomials with applications to coding theory ⋮ On skew polynomial codes and lattices from quotients of cyclic division algebras

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